Scroll:Measurements >> area >> saq (4355)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 A diagonal of a quadrilateral is 20 m, and perpendicular on it  from the oppsite vertices are 4m and 3m. Find the area of the quadrilateral

m2


Answer:_______________




2)  

 A diagonal of a quadrilateral is 25 m, and perpendicular on it  from the oppsite vertices are 5m and 5m. Find the area of the quadrilateral

m2


Answer:_______________




3)  

 A diagonal of a quadrilateral is 13 m, and perpendicular on it  from the oppsite vertices are 7m and 8m. Find the area of the quadrilateral

m2


Answer:_______________




4)  

 A diagonal of a quadrilateral is 10 m, and perpendicular on it  from the oppsite vertices are 3m and 6m. Find the area of the quadrilateral

m2


Answer:_______________




5)  

 A diagonal of a quadrilateral is 13 m, and perpendicular on it  from the oppsite vertices are 4m and 8m. Find the area of the quadrilateral

m2


Answer:_______________




6)  

 A diagonal of a quadrilateral is 15 m, and perpendicular on it  from the oppsite vertices are 5m and 5m. Find the area of the quadrilateral

m2


Answer:_______________




7)  

 A diagonal of a quadrilateral is 17 m, and perpendicular on it  from the oppsite vertices are 2m and 9m. Find the area of the quadrilateral

m2


Answer:_______________




8)  

 A diagonal of a quadrilateral is 15 m, and perpendicular on it  from the oppsite vertices are 3m and 2m. Find the area of the quadrilateral

m2


Answer:_______________




9)  

 A diagonal of a quadrilateral is 14 m, and perpendicular on it  from the oppsite vertices are 7m and 2m. Find the area of the quadrilateral

m2


Answer:_______________




10)  

 A diagonal of a quadrilateral is 19 m, and perpendicular on it  from the oppsite vertices are 4m and 3m. Find the area of the quadrilateral

m2


Answer:_______________




 

1)  

 A diagonal of a quadrilateral is 20 m, and perpendicular on it  from the oppsite vertices are 4m and 3m. Find the area of the quadrilateral

Answer: 70 m2


SOLUTION 1 :

Given  :

      d   =   20 m 

     h1   =  4 m

    h2     =  3 m 

 Area of the quadrilatral  =   12 x d  x (h1+h2)  sq . units

                                            =   12 x 20 x (4+3)

                                             = 12 x 20 x 7

                                         =  70 m2



2)  

 A diagonal of a quadrilateral is 25 m, and perpendicular on it  from the oppsite vertices are 5m and 5m. Find the area of the quadrilateral

Answer: 125 m2


SOLUTION 1 :

Given  :

      d   =   25 m 

     h1   =  5 m

    h2     =  5 m 

 Area of the quadrilatral  =   12 x d  x (h1+h2)  sq . units

                                            =   12 x 25 x (5+5)

                                             = 12 x 25 x 10

                                         =  125 m2



3)  

 A diagonal of a quadrilateral is 13 m, and perpendicular on it  from the oppsite vertices are 7m and 8m. Find the area of the quadrilateral

Answer: 97.5 m2


SOLUTION 1 :

Given  :

      d   =   13 m 

     h1   =  7 m

    h2     =  8 m 

 Area of the quadrilatral  =   12 x d  x (h1+h2)  sq . units

                                            =   12 x 13 x (7+8)

                                             = 12 x 13 x 15

                                         =  97.5 m2



4)  

 A diagonal of a quadrilateral is 10 m, and perpendicular on it  from the oppsite vertices are 3m and 6m. Find the area of the quadrilateral

Answer: 45 m2


SOLUTION 1 :

Given  :

      d   =   10 m 

     h1   =  3 m

    h2     =  6 m 

 Area of the quadrilatral  =   12 x d  x (h1+h2)  sq . units

                                            =   12 x 10 x (3+6)

                                             = 12 x 10 x 9

                                         =  45 m2



5)  

 A diagonal of a quadrilateral is 13 m, and perpendicular on it  from the oppsite vertices are 4m and 8m. Find the area of the quadrilateral

Answer: 78 m2


SOLUTION 1 :

Given  :

      d   =   13 m 

     h1   =  4 m

    h2     =  8 m 

 Area of the quadrilatral  =   12 x d  x (h1+h2)  sq . units

                                            =   12 x 13 x (4+8)

                                             = 12 x 13 x 12

                                         =  78 m2



6)  

 A diagonal of a quadrilateral is 15 m, and perpendicular on it  from the oppsite vertices are 5m and 5m. Find the area of the quadrilateral

Answer: 75 m2


SOLUTION 1 :

Given  :

      d   =   15 m 

     h1   =  5 m

    h2     =  5 m 

 Area of the quadrilatral  =   12 x d  x (h1+h2)  sq . units

                                            =   12 x 15 x (5+5)

                                             = 12 x 15 x 10

                                         =  75 m2



7)  

 A diagonal of a quadrilateral is 17 m, and perpendicular on it  from the oppsite vertices are 2m and 9m. Find the area of the quadrilateral

Answer: 93.5 m2


SOLUTION 1 :

Given  :

      d   =   17 m 

     h1   =  2 m

    h2     =  9 m 

 Area of the quadrilatral  =   12 x d  x (h1+h2)  sq . units

                                            =   12 x 17 x (2+9)

                                             = 12 x 17 x 11

                                         =  93.5 m2



8)  

 A diagonal of a quadrilateral is 15 m, and perpendicular on it  from the oppsite vertices are 3m and 2m. Find the area of the quadrilateral

Answer: 37.5 m2


SOLUTION 1 :

Given  :

      d   =   15 m 

     h1   =  3 m

    h2     =  2 m 

 Area of the quadrilatral  =   12 x d  x (h1+h2)  sq . units

                                            =   12 x 15 x (3+2)

                                             = 12 x 15 x 5

                                         =  37.5 m2



9)  

 A diagonal of a quadrilateral is 14 m, and perpendicular on it  from the oppsite vertices are 7m and 2m. Find the area of the quadrilateral

Answer: 63 m2


SOLUTION 1 :

Given  :

      d   =   14 m 

     h1   =  7 m

    h2     =  2 m 

 Area of the quadrilatral  =   12 x d  x (h1+h2)  sq . units

                                            =   12 x 14 x (7+2)

                                             = 12 x 14 x 9

                                         =  63 m2



10)  

 A diagonal of a quadrilateral is 19 m, and perpendicular on it  from the oppsite vertices are 4m and 3m. Find the area of the quadrilateral

Answer: 66.5 m2


SOLUTION 1 :

Given  :

      d   =   19 m 

     h1   =  4 m

    h2     =  3 m 

 Area of the quadrilatral  =   12 x d  x (h1+h2)  sq . units

                                            =   12 x 19 x (4+3)

                                             = 12 x 19 x 7

                                         =  66.5 m2